The figure is not drawn to scale. ST//VU and UT//WS. Triangles SWT and TUV are isosceles triangles. Find
- ∠g
- ∠h.
(a)
∠TUV = ∠TSW = 74° (UT//WS, TS//UV)
∠STW
= (180° - 74°) ÷ 2
= 106° ÷ 2
= 53° (Isosceles triangle)
∠UTV
= 180° - 74° - 74°
= 32° (Isosceles triangle)
∠g
= 180° - 74° - 53° - 32°
= 21° (Interior angles, TS//UV)
(b)
∠h
= 180° - 24° - 21°
= 135° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 135°
